Boundary feedback control of elastic beam equation with structural damping and stability

1990 ◽  
Vol 6 (4) ◽  
pp. 373-382
Author(s):  
Puhong You
Keyword(s):  
Feedback Control ◽  
Elastic Beam ◽  
Beam Equation ◽  
Structural Damping ◽  
Boundary Feedback Control ◽  
Elastic Beam Equation ◽  
Boundary Feedback

scholarly journals Riesz basis property of Timoshenko beams with boundary feedback control

2003 ◽  
Vol 2003 (28) ◽  
pp. 1807-1820 ◽  
Author(s):  
De-Xing Feng ◽  
Gen-Qi Xu ◽  
Siu-Pang Yung
Keyword(s):  
Feedback Control ◽  
Riesz Basis ◽  
Closed Loop ◽  
Loop System ◽  
Beam Equation ◽  
Closed Loop System ◽  
Boundary Feedback Control ◽  
Riesz Basis Property ◽  
Boundary Feedback ◽  
Generalized Eigenvectors

A Timoshenko beam equation with boundary feedback control is considered. By an abstract result on the Riesz basis generation for the discrete operators in the Hilbert spaces, we show that the closed-loop system is a Riesz system, that is, the sequence of generalized eigenvectors of the closed-loop system forms a Riesz basis in the state Hilbert space.

On the nonlinear elastic beam equation

2008 ◽  
Vol 202 (1) ◽  
pp. 427-434 ◽  
Author(s):  
Marek Galewski
Keyword(s):  
Elastic Beam ◽  
Beam Equation ◽  
Elastic Beam Equation ◽  
Nonlinear Elastic
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